(a) Explanation The T - s diagram with given state is shown below. Figure-(1) Write the expression for the isentropic efficiency for 1 st stage turbine. η T 1 = h 1 − h 2 h 1 − h 2 s (I) Here, the specific enthalpy at point 1 is h 1 and the specific enthalpy at point 2 is h 2 . Write the expression for the isentropic efficiency for 2 nd stage turbine. η T 2 = h 3 − h 4 h 3 − h 4 s (II) Here, the specific enthalpy at point 3 is h 1 and the specific enthalpy at point 4 is h 4 . Write the expression for the isentropic efficiency for 3 rd stage turbine. η T 3 = h 5 − h 6 h 5 − h 6 s (III) Here, the specific enthalpy at point 5 is h 5 and the specific enthalpy at point 6 is h 6 . Write the expression for the pump work. W P = − v f ( p 8 − p 7 ) (IV) Here, the specific volume of the liquid at inlet of the pump is v f , the pressure at state 6 is p 6 and the pressure at state 5 is p 5 . Write the expression for the pump work. W P = h 5 − h 6 (V) Here, the specific enthalpy at state 5 is h 5 and the specific enthalpy at state 6 is h 6 . Write the expression for the isentropic efficiency for pump. η P = W P W P a (VI) Here, the actual pump work required is W P a . Write the expression for the net work. W n e t = ( h 1 − h 2 ) + ( h 3 − h 4 ) + ( h 5 − h 6 ) + W P a (VII) Write the expression for thermal efficiency. η t h = W n e t ( h 1 − h 8 ) + ( h 3 − h 2 ) + ( h 5 − h 4 ) (VIII) Here, the enthalpy at point 8 is h 8 . Conclusion: Refer to Table A-4E “Properties of Superheated Steam Table” to obtain specific enthalpy as 3133.7 kJ / kg and the specific entropy 5.8357 kJ / kg ⋅ K at temperature 520 ° C and pressure 32 MPa . Refer to Table A-4E “Properties of Superheated Steam Table” to obtain specific enthalpy as 3307.2 kJ / kg for h 3 and specific entropy as 6.904 kJ / kg ⋅ K at temperature 440 ° C and pressure 4 MPa . Refer to Table A-4E “Properties of Superheated Steam Table” to obtain specific enthalpy as 3188.2 kJ / kg and specific entropy 7.666 kJ / kg ⋅ K at temperature 360 ° C and pressure 0.5 MPa . Refer to table A3 “Properties of Saturated Steam Table: Pressure Table” to obtain specific enthalpy as 2678.7 kJ / kg for h 2 S at pressure 4 MPa and 2784.4 kJ / kg for h 4 S at pressure 0.5 MPa . Refer to table A3 “Properties of Saturated Steam Table: Pressure Table” to obtain the specific enthalpy of the liquid ( h 6 s ) as 2399.5 kJ / kg and specific volume ( v f ) as 0.0010 m 3 / kg at pressure 8 kPa . Substitute 0.85 for η T 1 , 3133.7 kJ / kg for h 1 and 2678.7 kJ / kg for h 2 S in Equation (I). 0.85 = 3133.7 kJ / kg − h 2 3133.7 kJ / kg − 2678.7 kJ / kg h 2 = 3133.7 kJ / kg − 386.75 kJ / kg h 2 = 2746.95 kJ / kg Substitute 0.85 for η T 2 , 3307.2 kJ / kg for h 3 and 2784.4 kJ / kg for h 4 S in Equation (II). 0.85 = 3307.2 kJ / kg − h 4 3307.2 kJ / kg − 2784.4 kJ / kg h 4 = 3307.2 kJ / kg − 444.38 kJ / kg h 4 = 2862 (b) To determine Plot the quantities of part (a) versus the pressure ratio p / p 1 ranging from 0.5 MPa to 10 MPa .

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 8.6, Problem 33P

(a)

To determine

The net work per unit mass.

The cycle thermal efficiency.

(b)

To determine

Plot the quantities of part (a) versus the pressure ratio p/p1 ranging from 0.5 MPa to 10 MPa.

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Chapter 8.6, Problem 32P

Chapter 8.6, Problem 34P

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As shown in the figure below, moist air at T₁ = 36°C, 1 bar, and 35% relative humidity enters a heat exchanger operating at steady state with a volumetric flow rate of 10 m³/min and is cooled at constant pressure to 22°C. Ignoring kinetic and potential energy effects, determine: (a) the dew point temperature at the inlet, in °C. (b) the mass flow rate of moist air at the exit, in kg/min. (c) the relative humidity at the exit. (d) the rate of heat transfer from the moist air stream, in kW. (AV)1, T1 P₁ = 1 bar 11 = 35% 120 T₂=22°C P2 = 1 bar

Air at T₁-24°C, p₁-1 bar, 50% relative humidity enters an insulated chamber operating at steady state with a mass flow rate of 3 kg/min and mixes with a saturated moist air stream entering at T₂-7°C, p2-1 bar. A single mixed stream exits at T3-17°C, p3-1 bar. Neglect kinetic and potential energy effects Step 1 Your answer is correct. Determine mass flow rate of the moist air entering at state 2, in kg/min. m2 = 2.1 Hint kg/min Using multiple attempts will impact your score. 5% score reduction after attempt 2 Step 2 Determine the relative humidity of the exiting stream. Փ3 = i % Attempts: 1 of 3 used

Chapter 8 Solutions

FUND OF ENGINEERING THERMO W/WILEY PLU

Ch. 8.6 - Prob. 1E Ch. 8.6 - Prob. 2E Ch. 8.6 - Prob. 3E Ch. 8.6 - Prob. 4E Ch. 8.6 - Prob. 5E Ch. 8.6 - Prob. 6E Ch. 8.6 - Prob. 7E Ch. 8.6 - 8. What is the relationship between global climate...Ch. 8.6 - Prob. 9E Ch. 8.6 - Prob. 10E

Ch. 8.6 - Prob. 11E Ch. 8.6 - Prob. 12E Ch. 8.6 - Prob. 13E Ch. 8.6 - Prob. 1CU Ch. 8.6 - Prob. 2CU Ch. 8.6 - 3. The component of the Rankine cycle in which the...Ch. 8.6 - 4. A cycle that couples two vapor cycles so the...Ch. 8.6 - 5. The ratio of the pump work input to the work...Ch. 8.6 - 6. A shell-and-tube-type recuperator in which the...Ch. 8.6 - Prob. 7CU Ch. 8.6 - Prob. 8CU Ch. 8.6 - Prob. 9CU Ch. 8.6 - Prob. 10CU Ch. 8.6 - 11. An example of an external irreversibility...Ch. 8.6 - Prob. 12CU Ch. 8.6 - Prob. 13CU Ch. 8.6 - Prob. 14CU Ch. 8.6 - 15. A direct-contact–type heat exchanger found in...Ch. 8.6 - 16. The component of a regenerative vapor power...Ch. 8.6 - Prob. 17CU Ch. 8.6 - 18. A Rankine cycle that employs an organic...Ch. 8.6 - Prob. 19CU Ch. 8.6 - Prob. 20CU Ch. 8.6 - Prob. 21CU Ch. 8.6 - Prob. 22CU Ch. 8.6 - Prob. 23CU Ch. 8.6 - 24. The purpose of deaeration is ______________. Ch. 8.6 - Prob. 25CU Ch. 8.6 - Prob. 26CU Ch. 8.6 - Prob. 27CU Ch. 8.6 - Prob. 28CU Ch. 8.6 - 29. The total cost associated with a power plant...Ch. 8.6 - Prob. 30CU Ch. 8.6 - Prob. 31CU Ch. 8.6 - Prob. 32CU Ch. 8.6 - Prob. 33CU Ch. 8.6 - Prob. 34CU Ch. 8.6 - Prob. 35CU Ch. 8.6 - Prob. 36CU Ch. 8.6 - Prob. 37CU Ch. 8.6 - Prob. 38CU Ch. 8.6 - Prob. 39CU Ch. 8.6 - 40. For a vapor power cycle with and , the...Ch. 8.6 - Prob. 41CU Ch. 8.6 - Prob. 42CU Ch. 8.6 - Prob. 43CU Ch. 8.6 - Prob. 44CU Ch. 8.6 - Prob. 45CU Ch. 8.6 - Prob. 46CU Ch. 8.6 - Prob. 47CU Ch. 8.6 - Prob. 48CU Ch. 8.6 - Prob. 49CU Ch. 8.6 - 50. In a binary cycle, energy discharged by heat...Ch. 8.6 - Prob. 1P Ch. 8.6 - Prob. 2P Ch. 8.6 - Prob. 3P Ch. 8.6 - Prob. 6P Ch. 8.6 - 8.7 Water is the working fluid in an ideal Rankine...Ch. 8.6 - Prob. 8P Ch. 8.6 - 8.10 Water is the working fluid in an ideal...Ch. 8.6 - Prob. 12P Ch. 8.6 - Prob. 13P Ch. 8.6 - 8.14 On the south coast of the island of Hawaii,...Ch. 8.6 - Prob. 15P Ch. 8.6 - 8.17. Water is the working fluid in a Rankine...Ch. 8.6 - 8.19 Water is the working fluid in a Rankine...Ch. 8.6 - Prob. 20P Ch. 8.6 - Prob. 21P Ch. 8.6 - 8.22 Superheated steam at 8 MPa and 480°C leaves...Ch. 8.6 - Prob. 23P Ch. 8.6 - Prob. 25P Ch. 8.6 - Prob. 26P Ch. 8.6 - 8.27 Steam is the working fluid in the ideal...Ch. 8.6 - Prob. 28P Ch. 8.6 - Prob. 29P Ch. 8.6 - Prob. 30P Ch. 8.6 - Prob. 31P Ch. 8.6 - 8.32 An ideal Rankine cycle with reheat uses water...Ch. 8.6 - Prob. 33P Ch. 8.6 - 8.34 Steam at 4800 lbf/in.2, 1000℉ enters the...Ch. 8.6 - Prob. 35P Ch. 8.6 - Prob. 37P Ch. 8.6 - 8.38 For the cycle of Problem 8.37, reconsider the...Ch. 8.6 - Prob. 39P Ch. 8.6 - Prob. 40P Ch. 8.6 - Prob. 41P Ch. 8.6 - Prob. 42P Ch. 8.6 - Prob. 43P Ch. 8.6 - Prob. 44P Ch. 8.6 - Prob. 45P Ch. 8.6 - Prob. 46P Ch. 8.6 - Prob. 47P Ch. 8.6 - 8.48 For the cycle of Problem 8.47, investigate...Ch. 8.6 - Prob. 49P Ch. 8.6 - Prob. 50P Ch. 8.6 - Prob. 51P Ch. 8.6 - 8.52 As indicated in Fig. P8.52, a power plant...Ch. 8.6 - Prob. 53P Ch. 8.6 - Prob. 54P Ch. 8.6 - Prob. 55P Ch. 8.6 - Prob. 56P Ch. 8.6 - Prob. 57P Ch. 8.6 - Prob. 58P Ch. 8.6 - Prob. 59P Ch. 8.6 - Prob. 60P Ch. 8.6 - Prob. 61P Ch. 8.6 - Prob. 63P Ch. 8.6 - Prob. 64P Ch. 8.6 - Prob. 65P Ch. 8.6 - Prob. 66P Ch. 8.6 - 8.67 Water is the working fluid in a Rankine cycle...Ch. 8.6 - Prob. 68P Ch. 8.6 - Prob. 69P Ch. 8.6 - Prob. 70P Ch. 8.6 - 8.72 Water is the working fluid in a...Ch. 8.6 - Prob. 73P Ch. 8.6 - Prob. 74P Ch. 8.6 - Prob. 75P Ch. 8.6 - 8.76 A binary vapor power cycle consists of two...Ch. 8.6 - A binary vapor cycle consists of two Rankine...Ch. 8.6 - Prob. 78P Ch. 8.6 - Prob. 79P Ch. 8.6 - Prob. 80P Ch. 8.6 - 8.81 Figure P8.81 shows a combined heat and power...Ch. 8.6 - 8.82 Figure P8.82 shows a cogeneration cycle that...Ch. 8.6 - Prob. 83P Ch. 8.6 - 8.84 The steam generator of a vapor power plant...Ch. 8.6 - 8.85 Determine the exergy input, in kJ per kg of...Ch. 8.6 - 8.86 In the steam generator of the cycle of...Ch. 8.6 - Prob. 87P Ch. 8.6 - 8.88 Determine the rate of exergy input, in Btu/h,...Ch. 8.6 - Prob. 89P Ch. 8.6 - Prob. 90P Ch. 8.6 - Prob. 91P Ch. 8.6 - 8.92 Figure P8.92 provides steady-state operating...Ch. 8.6 - 8.93 Steam enters the turbine of a simple vapor...

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